{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercises: Plotting - Answer Key\n",
    "By Christopher van Hoecke, Max Margenot, and Delaney Mackenzie\n",
    "\n",
    "## Lecture Link:\n",
    "https://www.quantopian.com/lectures/plotting-data\n",
    "\n",
    "### IMPORTANT NOTE: \n",
    "This lecture corresponds to the Plotting Data lecture, which is part of the Quantopian lecture series. This homework expects you to rely heavily on the code presented in the corresponding lecture. Please copy and paste regularly from that lecture when starting to work on the problems, as trying to do them from scratch will likely be too difficult.\n",
    "\n",
    "Part of the Quantopian Lecture Series:\n",
    "\n",
    "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n",
    "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n",
    "\n",
    "----"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Useful Functions\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise 1:  Histograms\n",
    "\n",
    "## a. Returns \n",
    "Find the daily returns for SPY over a 7-year window."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = get_pricing('SPY', fields='price', start_date='2010-01-01', end_date='2017-01-01')\n",
    "returns = data.pct_change()[1:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## b. Graphing\n",
    "Using the techniques laid out in lecture, plot a histogram of the returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0wAAAH6CAYAAAA0kcz2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOEDDBAAAAAAO0DABAAAAgAP/A+hwxsoDCARyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f25b606fa50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(returns, bins = 30);\n",
    "plt.xlabel('Random Numbers');\n",
    "plt.ylabel('Number of Times Observed');\n",
    "plt.title('Frequency Distribution of randomly generated number');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## c. Cumulative distribution\n",
    "Plot the cumulative distribution histogram for your returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0IAAAHiCAYAAADF3XyzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f25ad6a9bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(returns, bins = 30, cumulative='true');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise 2 : Scatter Plots\n",
    "\n",
    "## a. Data\n",
    "Start by collecting the close prices of McDonalds Corp. (MCD) and Starbucks (SBUX) for the last 5 years with daily frequency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "SPY  = get_pricing('SPY', fields='close_price', start_date='2013-06-19', end_date='2018-06-19', frequency='daily')\n",
    "SBUX = get_pricing('SBUX', fields='close_price', start_date='2013-06-19', end_date='2018-06-19', frequency='daily')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## b. Plotting\n",
    "Graph a scatter plot of SPY and Starbucks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0UAAAH6CAYAAADIhOc8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f25ad536c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(SPY, SBUX);\n",
    "plt.title('Scatter plot of spy and sbux');\n",
    "plt.xlabel('SPY Price');\n",
    "plt.ylabel('SBUX Price');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## c. Plotting Returns\n",
    "Graph a scatter plot of the returns of SPY and Starbucks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1QAAAH6CAYAAAAA6A3qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f25ad906490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "SPY_R = SPY.pct_change()[1:]\n",
    "SBUX_R = SBUX.pct_change()[1:]\n",
    "\n",
    "plt.scatter(SPY_R, SBUX_R);\n",
    "plt.title('Scatter plot of spy and starbucks returns');\n",
    "plt.xlabel('SPY Return');\n",
    "plt.ylabel('SBUX Return');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "*Remember a scatter plot must have the same number of values for each parameter. If spy and SBUX did not have the same number of data points, your graph will return an error* "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise 3 : Linear Plots\n",
    "\n",
    "## a. Getting Data\n",
    "Use the techniques laid out in lecture to find the open price over a 2-year period for Starbucks (SBUX) and Dunkin Brands Group (DNKN). Print them out in a table. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Equity(6683 [SBUX])</th>\n",
       "      <th>Equity(41759 [DNKN])</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-01-02 00:00:00+00:00</th>\n",
       "      <td>39.945</td>\n",
       "      <td>40.893</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-01-05 00:00:00+00:00</th>\n",
       "      <td>38.977</td>\n",
       "      <td>40.721</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-01-06 00:00:00+00:00</th>\n",
       "      <td>39.074</td>\n",
       "      <td>40.664</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-01-07 00:00:00+00:00</th>\n",
       "      <td>38.787</td>\n",
       "      <td>40.616</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-01-08 00:00:00+00:00</th>\n",
       "      <td>40.042</td>\n",
       "      <td>41.931</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                           Equity(6683 [SBUX])  Equity(41759 [DNKN])\n",
       "2015-01-02 00:00:00+00:00               39.945                40.893\n",
       "2015-01-05 00:00:00+00:00               38.977                40.721\n",
       "2015-01-06 00:00:00+00:00               39.074                40.664\n",
       "2015-01-07 00:00:00+00:00               38.787                40.616\n",
       "2015-01-08 00:00:00+00:00               40.042                41.931"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = get_pricing(['SBUX', 'DNKN'], fields='open_price', start_date = '2015-01-01', end_date='2017-01-01') ## Your code goes here. \n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## b. Data Structure\n",
    "The data is returned to us as a pandas dataframe object. Index your data to convert them into simple strings. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2015-01-02 00:00:00+00:00    39.945\n",
       "2015-01-05 00:00:00+00:00    38.977\n",
       "2015-01-06 00:00:00+00:00    39.074\n",
       "2015-01-07 00:00:00+00:00    38.787\n",
       "2015-01-08 00:00:00+00:00    40.042\n",
       "Freq: C, Name: SBUX, dtype: float64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.columns = [e.symbol for e in data.columns] \n",
    "data['SBUX'].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## c. Plotting\n",
    "Plot the data for SBUX stock price as a function of time. Remember to label your axis and title the graph. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzwAAAH6CAYAAADC2EluAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f25ada93950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data['SBUX']);\n",
    "plt.xlabel('Time');\n",
    "plt.ylabel('Price');\n",
    "plt.title('Price vs Time');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Exercise 4 : Best fits plots\n",
    "Here we have a scatter plot of two data sets. Vary the `a`  and `b` parameter in the code to try to draw a line that 'fits' our data nicely. The line should seem as if it is describing a pattern in the data. *While quantitative methods exist to do this automatically, we would like you to try to get an intuition for what this feels like.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0UAAAHiCAYAAAAnAWfKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBAAAAMDW/j+xQNqbIB+AMQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f258a448d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data1 = get_pricing('SBUX', fields='open_price', start_date='2013-01-01', end_date='2014-01-01')\n",
    "data2 = get_pricing('SPY', fields='open_price', start_date = '2013-01-01', end_date='2014-01-01')\n",
    "\n",
    "rdata1= data1.pct_change()[1:]\n",
    "rdata2= data2.pct_change()[1:]\n",
    "plt.scatter(rdata2, rdata1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0UAAAHiCAYAAAAnAWfKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xt8VOW99/3vEI4JgWSEBBI0Rk5K8IAgKggoJgRpqFpt\nEvB4t322hu7X013sUxX2C5+7W6TYzW33fVNiu1t3634qAdviqZIQEBBJ0BgUBSoCApIECSEJhwQh\nwDx/rGRWDpNkMueZ9Xm/Xn01k2tmzbUmF+36zu+6rmVzOBwOAQAAAIBF9Qp2BwAAAAAgmAhFAAAA\nACyNUAQAAADA0ghFAAAAACyNUAQAAADA0ghFAAAAACzN41C0bNky5ebmat68efr888/btF24cEHP\nPPOMHnjgAbdfAwAAAADB4FEoKisr05EjR1RQUKDnn39eS5cubdP+4osv6rrrrpPNZnP7NQAAAAAQ\nDB6FotLSUqWnp0uSRo4cqdOnT6uhocHZvnDhQme7u68BAAAAgGDwKBTV1NTIbrc7H8fHx6umpsb5\nODo6usevAQAAAIBg6O2LgzgcDr+9pry8vMfHBgAAAGAtEydO9Pi1HoWihISENlWe6upqDR061Oev\naeHNCSIylJeXMw7AOIAkxgFMjAVIjAMYvC2keDR9burUqSoqKpIk7dmzR4mJiR2mzDkcjjbVIHde\nAwAAAACB5lGlaMKECUpLS1Nubq6ioqK0ZMkSrVu3TrGxsUpPT9dPfvITffPNNzp8+LAeffRR5eTk\n6Dvf+Y7GjRvX5jUAAAAAEGwerylauHBhm8djx451/vwf//EfLl/z1FNPefp2AAAAAOAXHt+8FQAA\nAAAiAaEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKUR\nigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAA\ngKURigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEI\nAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABY\nGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAA\nAABYGqEIAAAAgKURigAAAABYGqEIAAAAgKURigAAAABYGqEIABAWTp6sV07Oaj366JfKyXlNtbX1\nwe4SACBC9A52BwAAcMeCBeu1dm2uJJv27nVIKtCaNfOC3S0AQASgUgQACAuHDg2UZGt+ZGt+DACA\n9whFAICwkJp6RpKj+ZFDqalng9kdAEAEYfocACAs5OfPkVSg3bul8eOl/Px7gt0lAECEIBQBAMKC\n3R6nNWvmqby8XBMnTgx2dwAAEYTpcwAAAAAsjVAEAAAAwNIIRQAAAAAsjVAEAAAAwNIIRQAAAAAs\njVAEAAAAwNK82pJ72bJl2rVrl2w2mxYtWqTrr7/e2VZSUqKXXnpJUVFRmj59uhYsWKDGxkY9/fTT\nOnXqlJqamvTjH/9Yd9xxh9cnAQAAAACe8jgUlZWV6ciRIyooKNDBgwe1ePFiFRQUONuXLl2qV155\nRQkJCXrkkUeUmZmpHTt26JprrtFPf/pTVVdX67HHHtP69et9ciIAAAAA4AmPp8+VlpYqPT1dkjRy\n5EidPn1aDQ0NkqSjR48qLi5OiYmJstlsmj59unbs2KH4+HjV1dVJkk6dOiW73e6DUwAAAAAAz3kc\nimpqatqEmvj4eNXU1Lhss9vtqq6u1pw5c1RVVaVZs2bpkUce0dNPP+1F1wEAAADAe16tKWrN4XB0\n2/bWW28pKSlJv//97/XFF19o8eLF+utf/9rtscvLy33VTYQxxgEkxgEMjAO0YCxAYhzAex6HooSE\nBGdlSJKqq6s1dOhQZ9uJEyecbcePH1dCQoJ27typadOmSZKuvfZaVVdXy+FwyGazdfleEydO9LSb\niBDl5eWMAzAOIIlxABNjARLjAAZvg7HH0+emTp2qoqIiSdKePXuUmJio6OhoSVJycrIaGhpUVVWl\nixcvasuWLbrjjjuUkpKiTz/9VJJUWVmpmJiYbgMRAAAAAPiTx5WiCRMmKC0tTbm5uYqKitKSJUu0\nbt06xcbGKj09Xc8995wWLlwoScrKylJKSopycnK0aNEiPfLII7p06ZJ+8Ytf+OxEAAAAAMATXq0p\nagk9LcaOHev8edKkSW226Jak6Oho/frXv/bmLQEAAADApzyePgcAAAAAkYBQBAAAAMDSCEUAAAAA\nLI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUA\nAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDS\nCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAA\nAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1Q\nBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAA\nLI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUA\nAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALI1QBAAAAMDSCEUAAAAALM3jULRs2TLl\n5uZq3rx5+vzzz9u0lZSU6Pvf/75yc3O1atUq5+/feust3XvvvXrggQe0detWz3sNAAAAAD7iUSgq\nKyvTkSNHVFBQoOeff15Lly5t07506VKtXLlSq1ev1vbt23Xw4EHV19frN7/5jQoKCvTb3/5WmzZt\n8skJAAAAAIA3envyotLSUqWnp0uSRo4cqdOnT6uhoUExMTE6evSo4uLilJiYKEmaMWOGduzYofj4\neE2dOlUDBgzQgAED9Itf/MJ3ZwEAAAAAHvKoUlRTUyO73e58HB8fr5qaGpdtdrtd1dXVqqys1Llz\n55SXl6eHH35YpaWlXnYdAAAAALznUaWoPYfD0W2bw+FQfX29Vq1apYqKCj366KPavHmzW8cvLy/3\nRTcR5hgHkBgHMDAO0IKxAIlxAO95FIoSEhKclSFJqq6u1tChQ51tJ06ccLYdP35cCQkJio6O1oQJ\nE2Sz2XTllVcqJiZGtbW1bapKnZk4caIn3UQEKS8vZxyAcQBJjAOYGAuQGAcweBuMPZo+N3XqVBUV\nFUmS9uzZo8TEREVHR0uSkpOT1dDQoKqqKl28eFFbtmzRHXfcoSlTpujDDz+Uw+FQXV2dGhsb3QpE\nAAAAAOBPHlWKJkyYoLS0NOXm5ioqKkpLlizRunXrFBsbq/T0dD333HNauHChJCkrK0spKSmSpMzM\nTGVnZ8tms2nJkiW+OwsAAAAA8JDHa4paQk+LsWPHOn+eNGmSCgoKOrwmOztb2dnZnr4lAAAAAPic\nxzdvBQAAAIBIQCgCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigC\nAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACW\nRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAA\nAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmE\nIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAA\nYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigC\nAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACWRigCAAAAYGmEIgAAAACW\nRigCAAAAYGmEIgAAAACW5nEoWrZsmXJzczVv3jx9/vnnbdpKSkr0/e9/X7m5uVq1alWbtvPnzysj\nI0NvvPGGp28NAAAAAD7jUSgqKyvTkSNHVFBQoOeff15Lly5t07506VKtXLlSq1ev1vbt23Xw4EFn\n26pVqxQXF+ddrwEAAADARzwKRaWlpUpPT5ckjRw5UqdPn1ZDQ4Mk6ejRo4qLi1NiYqJsNptmzJih\nHTt2SJIOHjyor776SjNmzPBR9wEAAADAOx6FopqaGtntdufj+Ph41dTUuGyz2+2qrq6WJL344ot6\n5plnvOkvAAAAAPhUb18cxOFwdNv2xhtvaMKECUpOTu72Ne2Vl5d710FEBMYBJMYBDIwDtGAsQGIc\nwHsehaKEhARnZUiSqqurNXToUGfbiRMnnG3Hjx9XQkKC3n//fR09elSbN2/WN998o379+mnYsGG6\n/fbbu32/iRMnetJNRJDy8nLGARgHkMQ4gImxAIlxAIO3wdijUDR16lStXLlS2dnZ2rNnjxITExUd\nHS1JSk5OVkNDg6qqqpSQkKAtW7ZoxYoVeuihh5yvX7lypUaMGOFWIAIAAAAAf/IoFE2YMEFpaWnK\nzc1VVFSUlixZonXr1ik2Nlbp6el67rnntHDhQklSVlaWUlJSfNppAAAAAPAVj9cUtYSeFmPHjnX+\nPGnSJBUUFHT62n/+53/29G0BAAAAwKc8vnkrAAAAAEQCQhEAAAAASyMUAQAAALA0QhEAAAAASyMU\nAQAAALA0QhEAIOhOnqxXTs5qTZ78tnJyXlNtbX2wuwQAsBCPt+QGAMBXFixYr7VrcyXZVFbmkFSg\nNWvmBbtbAACLoFIEAAi6Q4cGSrI1P7I1P0ZrkVZNi7TzARDeqBQBAIIuNfVMc4XIJsmh1NSzwe5S\nyIm0alqknQ+A8EYoAgAEXX7+HEkFOnRooFJTzyo//55gdynkRFo1LdLOB0B4IxQBAILObo+jStCN\nSKumRdr5AAhvhCIAAMJApFXTIu18AIQ3QhEAAGEg0qppkXY+AMIbu88BAAAAsDRCEQAAAABLIxQB\nAAAAsDRCEQAAAABLIxQBAAAAsDRCEQAAAABLIxQBAAAAsDRCEQAAAABLIxQBAAAAsDRCEQAAAABL\nIxQBAAAAsDRCEQAAAABLIxQBAAAAsDRCEQAAAABLIxQBAAAAsDRCEQAAQBCcPFmvnJzVmjz5beXk\nvKba2vpgdwmwrN7B7gAAAIAVLViwXmvX5kqyqazMIalAa9bMC3a3AEuiUgQAABAEhw4NlGRrfmRr\nfgwgGAhFAAAAQZCaekaSo/mRQ6mpZ4PZHcDSmD4HAADgoZMn67VgwXodOjRQqalnlJ8/R3Z7nFuv\nzc+fI6mg+bVnlZ9/j387C6BThCIAAMKANxff8B9v1gXZ7XGsIQJCBKEIAIAwwKL80MS6ICAysKYI\nAIAwwMV3aGJdEBAZqBQBABAGUlPPNFeIbOLiO3S4sy6IqY9A6CMUAQAQBliUH5rcWRfE1Ecg9BGK\nAAAIAyzKD19MfQRCH2uKAAAA/Ih1R0Doo1IEAEAYYX1K+GHqIxD6CEUAAIQR1qeEH6Y+AqGP6XMA\nAIQR1qcAgO8RigAACCOsTwEA32P6HAAAYaS79SmsOQKAniMUAQAQRrpbn8KaIwDoOabPAQAQQVhz\nBAA9RygCACCCsOYIltDQIP3979K//qv6HT4c7N4gAjB9DgCACMI9cRCRHA5p926psFAqKpK2bZMu\nXJAkDV64UHrggSB3EOGOUAQAQAThnjj+x2YWAVJbKxUXGyGoqEiqqjLbJkyQZs+WMjNVHROjK4PX\nS0QIQhEAAEAPsJmFn1y6JH30kRGACgulsjLp8mWjbehQ6aGHjCCUkSElJpqvKy8PTn8RUQhFAAAA\nbjp5sl7FxZWS3pF0RtIcv29mEdGVqcpKMwRt3CjV1Rm/j4qSpk51VoM0YYLUi6Xw8B9CEQAAgJsW\nLFivurqnZOzw55C0Wqmptm5e5Z0f/OCveuutAZKksjKHzp//i95440d+fU+/+fZbYz1QSxDas8ds\nS0mRsrONEDRzpjR4cPD6CcshFAEA0Cyiv5GHT7Tf8jw+/oLy8+/z69jZtq1O0g/UEsTef3+FT44b\nEA6H9OWXZgjaskU6d85oGzBAuuceIwTNni2NGSPZ/Bswgc54HIqWLVumXbt2yWazadGiRbr++uud\nbSUlJXrppZcUFRWl6dOna8GCBZKkF198UTt37tSlS5f0T//0T8rIyPD+DAAA8BHWiqA7qalnmseG\nEVAyMvrJbo9TTs5qP46dIWodxIzHIez0aem998yd4lpvmZ2WZoagadOk/v2D1k2gNY9CUVlZmY4c\nOaKCggIdPHhQixcvVkFBgbN96dKleuWVV5SQkKCHH35YmZmZqqmp0cGDB1VQUKD6+nrdf//9hCIA\nQEjhxqfoTmdbnvtj7LRUnxyOy5L+LOk7kgZrxowQq6Zcvix9+qkZgkpKpIsXjba4OOnBB40QNGuW\ndCX7xCE0eRSKSktLlZ6eLkkaOXKkTp8+rYaGBsXExOjo0aOKi4tTYvOuIDNmzNCOHTs0f/583Xjj\njZKkQYMG6dy5c3I4HLJRJgUAhIj2VQBufIr2Otvy3B9jp3XlUnIoPn6FMjKSlZ9/r9fH9lp1tbRh\ngxGENmyQTpwwfm+zSZMnG9WgzEzj596s1kDo82iU1tTUaPz48c7H8fHxqqmpUUxMjGpqamS3251t\ndrtdR48elc1mU//mEunrr7+uGTNmEIgAACGFG5/CU/4YO+2rT6NGjdWaNXO9Pq5Hmpqk0lKzGrRz\np9k2fLj0+ONGNSg9XbriiuD0EfCCT6K7w+Fwu23jxo3629/+pj/84Q9uH7+c/echxgEMjANI/h0H\nP//5GOfPhw4d1KFDfnsr+EAo/W+Cr8fO4MFHZOxwZ1SK4uK+Duj59q2s1KDSUg3asUODysoU1dAg\nSbrcp4/O3nKLTt9+u07ffrvOjRplbpBw+HDbNUQBEkrjAOHJo1CUkJCgmpoa5+Pq6moNHTrU2Xai\npYQq6fjx40pISJAkbdu2Tb/73e/0hz/8QQMHuj/XduLEiZ50ExGkvLyccQDGASQxDmCK9LGwZs1I\n5eW1rj495N/dEBsbjd3hWnaK+/JLs23UKOc9g3rdeacGDRyoQf7rSY9E+jiAe7wNxh6FoqlTp2rl\nypXKzs7Wnj17lJiYqOjoaElScnKyGhoaVFVVpYSEBG3ZskUrVqzQ2bNn9atf/Up//OMfFRsb61Wn\nAQAIBLboRjB1tn7JZxwO4z5BLVPitm2Tzp832mJipO9+11wbNHKk//oBhACPQtGECROUlpam3Nxc\nRUVFacmSJVq3bp1iY2OVnp6u5557TgsXLpQkZWVlKSUlRWvXrlV9fb3+5V/+xbnBwosvvqhhw4b5\n9IQAAJGpJaDs3i2NH78vIAGFLboRcWprpY0bjRBUVCRVVpptN93krAZpyhSpb9/g9RMIMI/XFLWE\nnhZjx451/jxp0qQ2W3RLUnZ2trKzsz19OwCAxbUOKHv3BiagsEU3PBUyVcZLl6SyMnNK3EcfGVto\nS9KQIdL8+UYImjVL4otqWBh7JAIAwkIwAkogt+gOmYto+ERQq4xVVTr713X67Ff/n9KqdmvwpeZx\nGxVlVIBabp56881Sr16B6RMQ4ghFAICwEOh7CJ08Wa/z5xsVH79C0hDNmGHz6/1hmKoXWQIa4s+f\nlz74wFwb9PnnGihpiqQjukprlKszUwbqqb8/Z9xMFUAHhCIAgF/4uvLRch8YY02R/H4PoQUL1uvN\nN3+olhDWt2+BXys3TNWLLH4N8Q6HtH+/OSVuyxZj5zhJ6t9fyszU/9o7Qv959Cl9oWsl2XRL09t6\nikAEdIpQBADwC19XPlp24vLH9ruuAlygQ0qgK2HwL5/fzPXMGem998xqUOubIF13nblBwvTp0oAB\n+jDnNX1x1AhEXY0npm0CBkIRAMAvwqny4SrApaY6AhpSfH4RjaDyejvty5elXbvMELR9u3TxotE2\neLD0wAPmdtlXXdXh5e6OJ6ZtAgZCEQDAL8Kp8uEqwBUWTlMgQ4rf70mD0HfihLRhg7lddnW18Xub\nTZo0yawG3Xqr1LvrSzh3x1M4fXkB+BOhCADgF+FU+XAV4Agp8LumJmnHDrMatHOnsV5IMrbHfuwx\nIwRlZBjbZ/tBOH15AfgToQgA4BfhFCqCGeBY02Exhw+blaBNm6TTp43f9+kj3XmnuV32DTcYFSI/\nC6cvLwB/IhQBACwvmAEumGs6CGQB0Ngobd1q7hS3b5/ZNnKk9PDDRgi66y5pYOCnroXTlxeAPxGK\nAAAIomCu6WCRvR84HNLevWYIev994z5CkhQTI82da26QMGpUcPsKwIlQBABAEAVzTQeL7H2krk7a\nuNGcFldRYbbdeKM5JW7KFKlfv+D1E0CnCEUAAASRL9d09HQ6nD8DWURPzbt0Sfr4Y7Ma9OGHxhba\nknTFFVJurhGCZs2Shg8Pbl8BuIVQBABAEPlyTUdPp8O1D2RLl05RTs5qnwSZiJuaV1VlbJddWCgV\nF0u1tcbve/WSbrvN3C574kQpKiq4fQXQY4QiAAAiRE+nw7UPZDk5q90OMt1Vgvw5Na/lvXfvlsaP\n3+efKtT588YNU1u2y/7sM7NtxAjpe98zQtDdd0vx8b59bwABRygCACBCeDsdridB5kc/elNvvPGo\nWgLUhQuvat26x3zWl660rkLt3evDKtSBA2YIeu89Y+c4yVgHNGuWuTbouusCsl02gMAhFAEAQl7r\nqsTgwUe0Zs3IyFmf4kPerk/qSZDZurXleZJka37su750xWdVqDNnpM2bzSD01Vdm27XXmiFo+nQp\nOtrbbgMIYYQiAEDIa10ZkBzKywvz9Sl+4u76pM6mvrUOMsOHV+vChd6aPPntTtYXnZBkBiipxu2+\neLIJQ+vXHDu2W1KWelyFcjikXbvMELR9u9TUZLQNGmROicvMlFJSzPdcsinyNosA0AahCAAQ8ny9\nPiWid0ZzQ2ebILQOMt2tL5o+PU5vvrlaUqykM5o+3f3Pz5NNGNoG4zs0YsRyDRqUovHj1XUV6sQJ\nY2OElu2yjx832yZNMqtBt94q9enjdT8BhCdCEQAg5Pl6fUqgLnb9Eb58cUx3QmZ3z3nlle8rL2+9\nDh2SUlNtys9/0Kfv36LlfN95p0nSaklzJMVr+PA05ecnaeLEiW1fcPGitGOHuV12eblRIZKkxETp\nkUeMEJSRIQ0d6rN+AghvhCIAQMhrPa0rLu5r5ec/5NFx2l5g+/9it6vw5Wm48UWgcydkdvccb7YS\nN499StK7OnDggnJyXnP5GbSfOikVSMpt258jR8xK0KZN0qlTxu979zbWA7Vsl33jjcYW2j3up3th\n3OoVSCCcEYoAACGv9QV4eXm5D+6ds1qt18P4cme01rqqNHgabnxRvXBnEwR/bJTQEhr27x+gESN+\nqbNnbaqvf1p1dTatXev6M2h/vtHRTbp/9qvKfzBGjStWSJ98In3xhfmC1FRp/nwjCN11lxQb63F/\ne/oZMN0OCF+EIgCAZZgX2MbFbnR0k7Ky+vh0Z7TWuqo0eBpufDGV0J0qjy9vKtuifdUnPv5P6u4z\nMM73sq7TF8pUoR6P/aNufHe/9LdvFSsZu8J95ztmNWjUKJ9tl93Tz4DpdkD4IhQBACzDDBRxknKV\nleXfb/K7qjR4Gm66q16E8hSu9qGh/Q52bT6D+npp0yb9qV+RfhP9f2tI40nj98clXX+9lJmpL6+5\nRmN+8APjPkIhwJ/3ZgLgX4QiAIBl+PPeOa50VWnwpC/uBJ5QncJ18mR9h620p0+PV79+xmdwTcpp\n/fZHw6R/+zdjbdCOHdKlS+ovqX98vDQ3x6gEzZolJSdLks6Ul4dMIJICP74A+A6hCABgGf6YEuYp\nT/riTuAJ1SlcCxasV0XFkzI2SojRiBF79V8v3Kf4sg+lwteMbbP/0lwN6tXL2CK7ZbvsSZOkqKhg\ndt8toTS+APQMoQgAYBneTC1r/drhw4+rV68+qqy0B3SKmjuBJ1SncB06NFB9FKOpGqbZKtT9J19X\nfNqz5hOSk6Uf/tAIQunpUnx88DoLwHIIRQAAy3BVaVm16h63glLbTQJekzRPgZ6i5k7gCbkpXAcP\nSoWFWlX5iq7VPA1UgyTpwvk+xr2CWqpB48b5bIMEAOgpQhEAwO9CZfG/q0qLu2tw2r42tsNxAsGd\nwBP0KVxnz0qbN5s3Tz14UJI0SVJl7HC9M2CmDo29Tk+89hPZRyQFr58A0AqhCADgd6Gy+N9VpcUI\nNKckrZc0UMXFFaqtrZfDoTZBLimpQeZOaacViPsctdfTwBOQMOpwSJ99ZoagDz6QmpqMtthY6b77\nnNtlJ199tXJ9++4A4BOEIgCA34XK4n9XlZa8vHdVVvauWqbD1dVlKS+vQJLaBLn77ntV2dnGa5OS\nzslme7V5TVHPp6gFqnLWPowWF69QRkaS9+938qSxMUJhobRhg3TsmNk2caI5Je6226Q+fbw+DwDw\nN0IRAMDvQmXxv6tKS37+HBUXv6G6OlehzfxdZaVdH3001yf9CFTlrH0Yrasbq7Vrs3r+fhcvSh9+\naFSDioqksjKjQiRJCQnSww8bISgjw3gMAGGGUAQA8DtvFv+3r6o88YRv16E4HFJMzDHV1bUPbQ6P\ngpyrKlD7qXj79w9QICpn7cOodLbL92vd90mJh/WrdIditr0vbdwonTplPKl3b2naNOeUON10k7GF\nNgCEMUIRAMDvvFn8376qUle3SjNn3umzvrm6f05+/pPNrT0Pcq6qQFLbqXgjRvxSrtYk+XpaXUsY\nLS4+r7rNk8rAAAAgAElEQVS6vpLmqNOAd+6cXv7ect36/rdaog1K017pnea2q6+W5s0zQtDMmdKg\nQR73CQBCEaEIABDS2k8Bq6y0++H48TLWFEnDh9ucQcSTINf5+inzd0OGXK0pUzoGLl9Pq2sJo7W1\n9crLW69Dh7aZ7+dwSPv2GeuCioqkLVu0+NtvJUmNGqC/a47+cdUI/az4KWn0aLbLBhDRCEUAgKDq\nrjrSfgpYcnKtT9+/u/VOPa3euD5e26l4Y8a4Dlw93ZDC3b45K3WnTkmbNknPPm2Eoa+/Np80frze\nakrR/973E32gaTqvfsq+rUAaM8arzwMAwgGhCIClcYEXfO2rIyUlyzV8eJrz79F+PdITT6T59P27\nW+/U0+pN58dz/R6tx+CxY7sl3SGjctX9OqZu+3b5srRzp1kNKi2VLl0y2uLjpexsY0rcrFnSiBG6\no7Zef85brxsOFXc6ZTBUtlcHAF8iFAGwNC7wgq99daSiYpwqKua2+XusWnWPMzgsW7ZbN910U5fh\ntSdht7v1Tj2t3nR2vM7eo/UYlLI0YkRLKOx+HZPLvn3zjbFNdlGR8d81NUZzr17S5Mnmdtm33CJF\nRbnV927fEyGDL3oAzxCKAFgaF3jB13GHtIbmFvPv0TY4OJSX13V49UXYbbm4PHCgQlKWOpte584x\nurpAbT8Ghw9Pc3vr79TUM/q07LymqFSZKlTu/gJp+BHzCUlJ0g9+YASh9HTJ7v16LFfTA7kQDx18\n0QN4hlAEwNJC5f45VnXyZL3On29UfPwKSUM0YEClqqoWNLeaf4+ehldfhF3z4vKUpNWKj7+gjIx+\nPdpO3NUFakvV68sv+6um5gudPSv1OHR99ZVUVKT/Pv22LvX+oQZcNDZIcDT2NcJPSzUoLc3nGyS4\nvgEuF+Khgi96AM8QigBYmjf3z/EW364boeHNN3+olkAwffof1K9fYYe/R0/Dq6vNGXJyVvfoszYv\nLuMkzdeoUW9r1appzbu4uXccVxeo7ate0h/UWehqGSPHDvTWnOiP9C/XnlL/rVuk/fslSX0lYyOE\n5hBkmzFDionp8ry85WqKnT8vxPl30jN80QN4hlAEwNK8uX+Ot5jm0vFiuqoq0eXUsdbhNS7ua+Xn\nP9TlcduH3fPnm7R27aPqyWft6uKyp38zV8dof85SoqS5GjXqba1Z03zuDoe0e7fWP7xM/9dn1Zqm\nbeqnC9IHkgYOlO6917x5ampqm/cMRojw54V4x404fqldu/IIRp0I5hc9QDgjFAFAkDDNxf2L6dbh\ntby8vNsL4vZhd/Lkt9XTz9rVxeXs2du6PU7rUJKU1KD77ntVlZX2VlPN3m23hsrYsvv6pGPSmjXG\nBglFRVJVlR5uPuZOTVChZuvI2Fj99rOnpL59W73P7jbhJxhh258X4h034khTXt56y32B4K5gftED\nhDNCEQAECdNcAvettieftauLy/bHOXZst2prp7UJae2nx2VnF7Spfi1dOlUlJctVXzNUEy9/oJzB\n9Uq/tESj3joovekwnjR0qPTQQ/o/Bwbp+Q+XqFrDjGPdWCD17dvhfVqHn2CEbX9eiLvaiMOKXyAA\n8C9CEQAECdNcAvettq8+6/z8OSopWa6KinGSGlRR8WSHqkWXoaSiQhvnLdWKinplqFjxqpdOyNga\n+4471Dh9hn7xYX9trh+vq5sa9MKfp+qDRZvb9LulQvTOO00u3yfSwrbxmf9SFRVpMnYmnK3U1MJg\ndwtAhCEUAUCQMM0lcLr7rN1dh2O3x2n48DRVVJiVn/ZVi9ahpJ/O6bsDSqWfbTVuoLpnj55sft5h\npWiNcvTVKLte/PhpafBg/Y+c1Vq70aj+fPRxx6lvJ0/W66abXm4OZXsk1an9jV79HbYDvWbJbo/T\nrl15rTa4KLTkFwgA/ItQBACwvJ6sw+myEuNw6LcLR2v2l49rzKE9mnT2c/V7/4L0vqQBA6R77tEf\njw3Rsk8X6UuNlSRl31wgDR4sqft1ZgsWrFdFxdPNz5krabmio5OUldXHGRT8HbaDsWaJLxAA+Buh\nCADQgVW2Qe5uKporHSoxy6dKb7xhVIKKihR3+LD+R/Nzjw4aoSGP3KcB935XmjZN6t9f362t1/q8\n9Rp8aH+HSk53U9867lw3TllZDQENDGYf6iUZn11OzmsRO0YAWAOhCADQQSCqAaEQvMzzXC1jEX/3\n63DscYO05umxzhCk0Y9KFy8ajXFxKh1xq35f8SMVabYqTyfrvspX1ff3NTq0uNh5np19lt1NfWsf\nmkaM2Kv8/CddHcpvzD6sl5Srxkab1q615pbyACIHoQgAIpinwSMQO5iFwn2azPM0wkh0dFObqWhO\n1dXShg1GENqwQTpxQpJ0WTbtiRmtfWPSNOt/PalBd8/UT6asV1mrNUdbtzpUV+feeXY3TaxjaHoy\n4EGypQ/vvNOkxkZrbykPIHIQigAggnkaPAKxg1ko3KfJPM84SbnKymr+fJqapPffN6tBO3eaLxo+\nXHr8cf36i1j9244lqm0YIu11KPuVAq3J7O1iC+ka9eQ8W4Lsl1/2V03NFxoy5GqNGeNwBlp3g6O/\nKnEtfcjJea25QhQZu9wBsDZCEQCEgUBXfAKxXbgRHuokFUqK0bFjezrc88ffWp/n5KFfafnkS9L9\n90ubNklnzkiSHH37andCmjb3vUVHx43Vs689IfsV8Xpt8tuq1ZDmI5mfbfvP7vz5wXrzTffDQ/v7\nHFVUFOjTT+epp5U0f1fiWp9ncnKtzp9v0uTJb0f0GjQAkYtQBABhINAVn0Ds9mXcf+Zl525qFRVz\nlZcXwCl0jY2y7yjRmmE7pE8LpbIvpXeb20aPlh57TJo9W4+9Uq3//tvjkmxSRZ0Kbvpt87bcn0r6\nRtIwSaeVlHROUsfPrra2Xnl57gfMjpspGI97WklzFYh9WT1qfZ45Oau1du2jCuZUSADwBqEIAMJA\nKFd8PGXe88e982q5oN+9Wxo9+nNJF3XkSIxqag5r6NBrNXr0OeXnz5HDIdcX/g6H6reX6u0f/0Zj\nDu/RhLN71fdykySpodcA7U26WeN+Ol8x37tfuuYa5/t+8T/flvnZF6qi4unmPmfJ2KBhriSHbLZX\nOz1PVwGhs4DScfrdWXkyPc1VIPZX9SgUpkICgDcIRQAQBswL3FOS3tWBAxfc2gY5lO7v4ioEtL9w\nHz68Wjk5q12up2l9Qb93r0NGIJGkZ1RRYdMnnxgX+ZKczztQdlJ/OvqcfnrdWWO77MpKPdL8qk90\nk7bHDtZfzjynkstT1VTVR9llBVrzs2va9LttH2PUtooT6/y5stLe7fm2/lt1FlBaguz+/f114sQ+\nDRmSojFjCrR06RTl5KzucLzO3sdVIJ49e5v8EV4CsQYNAPyJUAQAYaDlAre4uFJ1dU+pri78tkF2\nFQLaX7hfuNC70/U0HaeVXZR0uc3vjnw1QOMa9muJfqHZKtRkfaSo0stSqaQhQ1Ron6HXan+gDZql\n4xqm6EuvqlF3OfvoKiS07uOxY3tUUTFXZhXnTPOzOgaB7qoynVVXOguyxhS1jsfr7H1cHcdf4cWd\nimQobMEOAJ3xOBQtW7ZMu3btks1m06JFi3T99dc720pKSvTSSy8pKipK06dP14IFC7p9DQB4I9Iv\nuFoucCdPfltlZeE5TclVCGh/4T558ttqG3zM9TQdp5X1kXRZw1WpTG3QbBVqVvnbincYa3suKkol\nmqLK8UnK/a//R7r5Zv3XvAKtXTvPeQy7vVKNjV2HhNZ9rK2d5lwflJxcK4ejSVVVb7sMAp2Fnpax\neuBAhYwpeO4FlM6O15Opa/6aTulORTIUtmAHgM54FIrKysp05MgRFRQU6ODBg1q8eLEKCgqc7UuX\nLtUrr7yihIQEPfzww8rMzFRtbW2XrwEAb1jlgiucpym50/eu1tO0XNAXvnlWk84f1mydVqbe0w16\n2Pn6I44RWqu79fEVF3XgqiwljHYYF/7NAbl9KHjhhflatMj9kNCT6Yidna85Vk9JWq34+AvKyOjX\n7Xt3dryejIlgTqdk3RGAUOZRKCotLVV6erokaeTIkTp9+rQaGhoUExOjo0ePKi4uTomJiZKkGTNm\nqLS0VLW1tZ2+BgC8ZZULrlDeOKE77vTd5Xqa0av126fGKO7P/601DUU611SsAbogSTqn/vpk2I3a\n3GeSfnf0Z9qnsZJsir/8Rx3YOLtDtbAlFLRUa+bN+0ypqQ4VFk6TwyHl5fmu2tjZ+ZpjNU7SfI0a\n9bbWrJnbxZG6Pl64jIlwDvQAIp9Hoaimpkbjx493Po6Pj1dNTY1iYmJUU1Mju91cbGq323X06FHV\n1dV1+hoA8FakXXB1Nh0wlDZO6KnWfT95st5lAHE+58wZ6b1e5s1Tbz3kPM7lq1L0Tv9xKtJtqhuf\nov/9n/fqw7x3te+oEYgkh+rq+iovb32nn5WryqIkn1YbO/tb+Xqb9HAZE+ES3gBYk082WnA4HD1u\n6+o17ZWXl/e4T4g8jANInY+DJ55IUl3dKlVW2pWcXKsnnkgL6zHz7LM7VFy8QC0X6HV1q7Rs2W3B\n7pbPtD+/+tqVeulxuwaXlmpQaakG7tol26VLkqSLAwfqzN1369Ttt+v0bbepadgwDZf0ePOxDh06\nqCeeSNL69ct15kyajCl3c7R79/pOx8Du3VLryqLxuOPv/DGGIm2s9sTPfz7G+fOhQwd16FAXT3aT\nVT47dI1xAG95FIoSEhJUU1PjfFxdXa2hQ4c6206cOOFsO378uBISEtSnT59OX9OdiRMnetJNRJDy\n8nLGAbodBzNn3hmorvhdfX2VWl+g19df1e2/gXDabKK+vkpDVKNZ2qBMFek7W97SFRtPGY02mzRp\nkjR7tjR7tnpPnqz43r0V3/zazsbBPfdUae1ac+OC8eM7//+P8eP3NW/rbTx3zJgL+vjjKklvyQhV\n93T5em/NnHmnX45rNfx/AyTGAQzeBmOPQtHUqVO1cuVKZWdna8+ePUpMTFR0dLQkKTk5WQ0NDaqq\nqlJCQoK2bNmiFStWqLa2ttPXAADa8mSKVchvNtHUJO3YIRUWavWB1UrVYfWSMWugrnec9NBjUmam\nlJEhDRni1iFbB8GkpAu6994/qKoqsdvpWe2ncp0/36SKimfU8nmPGLFc+flPen/OAICw4FEomjBh\ngtLS0pSbm6uoqCgtWbJE69atU2xsrNLT0/Xcc89p4cKFkqSsrCylpKQoJSWlw2sAAK55sv4iVDab\naB1UJid8peUzLyvmg23Spk3S6dOSpGv69NGehOu0ue8tOjruWj3z2hPSFfHdHLmj1kFQcig7u0Af\nfdT9pgXdbQU+fHhayFbZAAC+5/GaopbQ02Ls2LHOnydNmuRyu+32rwGAYAiHaWaeLJ5vW12q07Fj\nezR5sgJ7jo2N+t39y3T7tm/1P1Wka7VP+ntz28iR0iOPSJmZst11l8YPHKjxXR6se74KgpG2UQcA\noGd8stECAHgqGAElWNPM/H2uratLx47tUUXF06qo8O85nqyp0wsP/15X7v1Cd134SDfU79ez589L\nks4qRm9prr64Kkk/3/QzadQo5+v27z+imTNXqrY2SXZ7pbZsma+RI1N6/P6+CjP+2BktHMI3AMBA\nKAIQVMEIKMGaZubvc21dXZo8Waqo8M851h48rD898pKu2f8P3VL3kVZcOuVsOxyXol1XX69f7/up\nSjRVF9RX2bcVtAlEkjRz5mpVVDwtyabGRoeuv/45jR9/S4/Dg6/CjD+2tQ75NV4AACdCEYAe8+U3\n4MEIKMGaKhXIc/XpOV66JH38sXG/oMJCxe3YoZ8231ahRlfoNU1RkR7WBl3QiTMDFKt6DRi+ReMS\nj2vMGLkMKrW1SWr9WZw7N0plZXPdCg/19WeUk7Paq/EXiCqOp39vKkwAEHiEIgA95stvwIMRUIJ1\nE8lAnmtn5+j2BXdVlbRhg3Hz1OJiqbbW+H2vXvos5lr99ew8FWq2dupmXdbfJTVIypUu2VRf71B9\n/WpNm6ZOx4XdXqnGRvOzkKqaW7oPD8uX72lzjyNPxp+rMbxq1T0+DSOe/r2pMAFA4BGKAPSYLyse\nwQgo/pgq5Y5Anmtn59jpBff589L27UYIKiqSPvvMfNGVV0rf+55x36C779ayJ97V2rXzZG5fvVe1\ntUlqbDTHhBTb5Y05t2yZrzvvXK7a2iQ5HPt17twPm1u6Dw+VlXb1dPy1D4P79w/ocAxfhxFP/96e\n/Ptqf35Ll07V4sUlVJsAwE2EIgA95suKR7ACSjCEwrm2vuAeqYOatGOLNPc16b33pMZG40n9+kmz\nZhkhKDNTuu4644aqzTpe7D+pvLx3tXZt68rPGaWm2tSZkSNTdPToM5Kk2tp65eWt16FDn7sVHoYM\nqZD0mqRYSaeVlHSuy+efPFmvm256WRUV4ySdUVnZPRox4uXmfppj2NfTGz39e/viHlUlJcuda7ao\nNgFA9whFAHosWNPP4OV6kzNn9GDfLXpc7ypTGzRSX0lfy/jPddcZASgzU5o+Xeri5trNy4nU1HRR\nJSWHdffd65WS0qA5c/6g0tLekmo0fXqc8vMfdKtbPQ0PNlsfSWalymZ7tcvnL1iw3hkQjCBUoCFD\nrtaUKW3HcF7euyGxLbcv7lHVfs2Wq4DH2iUAMBGKAPRYKFQ8Qpk/LzbbVgTqVFLysoYPT3P9Pg6H\ntGuXOSVu+3b9vKlJknQ2KlofDrtF43/2kGK+d7901VUe9UFyqKKiQJ9++iNlZxeotrbzceGrz+XE\niUS1vuA3ptN1rn1gkGI0ZkxDhzHsadj39d+7JXQ2P3LrNe2rS+3XbLkKeKxdAgAToQgA5NsLW39e\nbLa9wC/seC+ilenGxghFRcZ/jh83nmqzSRMnGpWg2bM18NZbdWufPj7og02S8bi76WYdp3j9Ups3\nz+/x2pekpJPau9f9is7w4cfVerrd8OFfKj//px2e52nY9/Xf25PjtQ90L7wwX4sWdR3wgrU1PQCE\nIkIRAMi3F7b+vNhsWxGIUZQu6TbtUKaK9MA7BdLrD5mlhsRE6dFHjSCUkSENHdrlsd0Nhu2rEtJZ\nuRNO2n8uFRVpuuuu1T1e+/Lss+Nlt7tf0enVq/10u2WaPXtbh3P0NBj7+u/tyfFcBbo1a7q+GW6w\ntqYHgFBEKAIQdvwxPe3LLyWpQEbV44y+/LLzTQK648+Lzfz8ORrS8H+UvHufbqreqinnHlWcjJun\nXjwXJc2Y4awG6YYbpF693D62u8GwpSqxf39/nTixT0OGpGjMmIJuw0nHMNXg1tqX9gYPjtWaNXe6\nfV7td6urqhqvqqqO90TyNBj7+u8dqLDC2kAAMBGKAIQdf0xPq6k5LOkZtVyI1tQs9/hYPr/YPHdO\n2rpVKiqSvbBQv/niC2fT8Zih+kv0PfpqzDj96M8/kT3lSo/fpqsKhS+CaH7+HJWU/FIVFWky7ms0\nW3b7y92uffGWqzBmaHuOnlZ8fPX3bvmMv/zSphEjfqmhQ6/V6NHf+i2ssDYQAEyEIgBhxx/T04YO\nvVYVFeYxhw4d6/GxvL7YdDikf/zDWBNUWCi9/7707bdGW3S09J3vOLfLThw1Sg/aPK9qtdZVhcII\norMlFaqsbKBKSvK1a1dej4KR3R6nXbvymrffHqjU1EK31r54Kz9/ji5ceFVbtzp09uxXampqWU/U\n9hw9rdD4Kly038BiyhQ2PgCAQCEUAQg7/pheNHr0OX3yiXnM0aO/9fqYPVJfL23aZO4Ud/So2XbD\nDeaUuKlTjfsI+UFXFQ8jeBZKMi7aKyrm6sYbl3e+850LnVWbulv74i27PU59+/ZVXV2upFOS3lV8\n/AVlZPRrc47Bnk7GxgcAEDyEIgBhZ+nSqSopWa7a2iTZ7ZV64YX5Xh8z4BfEly5J5eXmLnE7dhi/\nkyS7XcrJMULQrFlSUpJ/+6KWt+284mEE0fYbJYxTRUXHtTmdCeYW0GbgiJM0X6NGva01a+a2eU6w\np5Ox8QEABA+hCEDYWby4xLljWWOjQ7fcskIZGUlebbgQkAviY8ekDRuMalBxsXTypPH7Xr2kW291\nTonTpElSVJR/+9JDxnqgfFVUzFV3a3M6E6hKiKuKVDgEjmBXqgDAyghFiDjcpT3ytb+4rqsbq7Vr\nsxRyN5+8cEHavt2cErdrl9mWnCz98IdGCEpPl+Ljg9dPN5jrgYyL9mPHdqui4snmVvdCRqCCiauK\nVDgEjmBXqgDAyghFiDjcpT3yub5PToiswTh40AxB770nNTRXU/r1M+4V1LI2aNw444aqYaT1RXtt\n7bRWGya4FzICFUxcVaQIHACArhCKEHFYrBz5Wi6ui4vPq66ur6Q5CtqUqLNnpc2bzZ3iDh4028aO\nNafEzZhh7BwXIrytqHoSMgIVTMJhqhwAILQQihBxuCCKfC0X17W19c3Vim2BmxLlcEiffWZWgz74\nQGpqMtpiY6X77jOD0NVX+78/HorkimpnFSmm1gIAOkMoQsQJh7UD8I2ATYmqqTE2RmjZKe6bb8y2\niRPNKXG33Sb16eP//rihuwAQyRXVzsZFJAdBAIB3CEWIOKwdgNcuXpQ+/NCcEvfxx0aFSJISEqSH\nHzZCUEaG8TgEdRcArFhRjeQgCADwDqEIACTp66/NStDGjdKpU8bve/eWpk0zp8TddJOxhXaI6y4A\nWLGiasUgCABwD6EIgDWdOye9/75ZDfrHP8y2q6+W5s0zQtDMmdKgQV69VTDWsnQXANytqIbyOpye\n9s0XQTCUPw8AgOcIRQCsweGQvvjCDEFbt0rffmu0DRggzZljVoNGj/bpdtnBWMviq0pQMNfhdBdA\neto3d4Kgr9/Tk/fwJ0IdALhGKAIQuerrpU2bzGlxX39tto0fb4agO+6Q+vf3WzeCsZbFV2vrgrkO\np7sA4o+++eo9uwofwQyabDYBAK4RigBEjsuXpfJysxq0Y4d06ZLRFh8vZWcbIWjWLGnEiIB1K5zX\nsgSz750FkPr6M8rJWa0DB85L+rOk70ga7FXfWkLMO+80SVot495XcR1CT1LSSRk3DDY+j+TkWpfH\n6yx8nDxZr+Li8y7PKxDYbAIAXCMUAQhv33wjbdhghKDiYmP7bMnYDGHyZHO77FtukaKigtLFcN7U\nwJ99724qV2eBbPnyPSouXuD8fXz8CmVkJHvVt9Yhxgg9BZJyXQStizJCU6ykM3I4mlwer7PwsWDB\netXV9VHrYBXIoBnOAR0A/IlQBMCn/L5m4cIFqaTEvHnqp5+abUlJ0g9+YASh9HTJbvfd+3ohnLeJ\n92ffu5vK1Vkgq6y0q3XgGDVqrNasmetVX9qHmOjoJmVlFXQIWlVViZLmtnr8tsvjdRY+jPeZJiN0\nDVR8/D7l5//Iq773RDgHdADwJ0IRAJ/yy5qFgweloiKNXLNG2rlTOtv87XbfvtLddxuVoNmzpbQ0\nn26QAP/qbipXZ4EsKemk9u71bbWjfYjJyurj8r3drbR0Fj6M1w+WNE+SQxkZZwO60UE4B3QA8CdC\nEQCf8smahbNnpS1bzGrQgQOSpDjJ2BmuZYOEO++UYmJ80m9fiYTdvQJ1Dj2ZytW6TwMGNOq++15V\nZaXdZ9UOdyso7j6vs/BBpQYAQhOhCIBPebRmweGQPv/cDEHbtklNzWs1Bg6U7r1XyszU50lJuv7e\ne/3Zfa9Fwu5egTqHngSEtmt+spSdXaCPPvJuylxr7lZQvK20UKkBgNBEKALgU+5e6Nbu/0r//ehL\nuubAPzT1bLns39abjRMmmNWg2283pslJulBeHoAz8E4k7O4VqHPoSUCIhM8VABC6CEUAfKrTC92L\nF6WPPnJulx33UZl+Iock6YSGaNtVUzXt+SeM7bITEwPca9/xdHevUJp2F4o7lIVin3wplP7+AGBF\nhCIA/lNRYd4zaONG42aqkhQVpV0Dr9Nfzs5XoWbrE03QpMS/66NHfDcdKlg8XTMSStPuQnHdS+s+\nxcV9rfz8h4LdJZ8Kpb8/AFgRoQiA73z7rbEeqGVt0J49ZltKipSTY0yJmzlTv/ynv2vt2nmKtG/+\nPV0zEkrTw0Jx3UvrPpWXlwe9iuLryk4o/f0BwIoIRQA853BI+/aZ1aCtW6Vz54y2AQOke+4xb546\nZkyb7bJ9WY2IhKlHSUkn1fqGnsnJtUHuUfgJ5DjwdWUn0qcHAkCoIxQB6JlTp6T33jOrQUeOmG1p\naWYImjZN6t+/08P4shoRGVOPLkpaLSlW0hk5HE1B7k/4CeQ48HVlJxSnLAKAlRCKAHTt8mXpk0/M\nEFRSIl26ZLTFxUkPPmiEoFmzpCuvDEoXI2HqUVVVoqS5rR6/HbzOhKlAjgNfV3ZCccoiAFgJoQhA\nR8ePSxs2GCFowwbpxAnj9zabNHmyUQ3KzDR+7h38/xmJhKlHkXAOwRbIz5DKDgBEluBfzQAIvgsX\npNJSc23QJ5+YbcOHS48/blSD0tOlK64IWjc7EwkXqJFwDsEWyM+Qyg4ARBZCEWBVhw6ZU+I2bZLO\nNn+r3revNHOmefPU669vs0FCKIqEC9RIOAd/a9lIYfduafz4fR02UuAzBAB4ilAEWEVDg7Rli1kN\n2r/fbBs1ygxBd94pDQy/NTmIfK03Uti7N1w31AAAhCJCERCpHA5p924zBG3bZkyTk6SYGOm73zXX\nBo0cGdy+Am6IhA01AAChiVAERJLaWmnjRnNaXFWV2XbTTWY1aMoUY5oc0A137v0TqPsDsRkFAMBf\nCEVAmDp5sl4/fvLvit5TpXtsO3R/9FH13llubKEtSUOGSPPnGyFo1ixp2LDgdhhhyZ17/wTq/kBL\nl05VScly1dQM05Ahx/TCC/N9/h4AAGsiFAHhprJSKirSvv/3P7Xq6D7ZVSdJumTrJU2dYt489eab\npV69gtxZBIMvKzfuTFkL1LS2xYtLVFHxtCSbKiocWrSoQGvWpPjlvQAA1kIoAkLdt99KH3xgTonb\nvSSEwPkAABIcSURBVFuSNEXSEV2lv+hBFWq26m86r/e2BXbReaCmTaFnfFm5cWfKWqCmtbGmCADg\nL4QiINQ4HMbOcC0haPNm6dw5o61/f+e6oIVFTXqp8ClJvSQ5lD26IOBdDdS0KXcR0gxGWDglab2k\ngSourlBtbb1Hn4U79/4J1P2BWFMEAPAXQhEQCk6flt57z9wp7vBhs23cOHNK3LRp0oABkqR/fbRe\nlXlrAnKjys7CRqh9cx9qIS1YjPDwrqR5kmyqq8tSXp5nn4U79/7x9P5APQ2xLeHLuE+RuMEtAMBn\nCEVwKVy/cQ+bfl++LH36qRmCSkqkixeNtsGDpQceMHeKu/JKl4cI5I0qOwsbofbNfbBCWqiNu/z8\nOSoufkN1daETWF3paYhtGfPl5eWaOHFiwPoJAIh8hCK4FK7fuId0v6urpeJiIwRt2GA8liSbTZo0\nyQxBt94q9Q6tf5qdhY1ATZtyV7BCWqiNO7s9ThkZfbV2begEVldCrdIIALCu0LryQsgI14uVkOp3\nU5NUWmpWg3buNNuGDZMee8wIQRkZxvbZIayzsBHIapU7ghXSQmrcNQu1wOqKv0NsqFXwAAChi1AE\nl0JtWpS7gt7vw4fNELRpk3TmjPH7Pn2ku+4yq0E33GBUiMJEOFxgS8ELaYEed+5c7IdaYHXF3+Mq\n1Cp4AIDQRSiCS+FyEdxewPvd2Cht3WruFLdvn9k2cqT06KNGCLrrLmlg8KsHngqHC+xgCvS4i5SL\nfX+Pq1Cs4AEAQpNHoejixYt65plnVFVVpaioKC1btkwjRoxo85y33npLr776qqKiovT9739fDz74\noC5duqTFixfr66+/1uXLl/Xzn/9cN998s09OBL4VrhfBfu+3wyHt3WuGoPffl86fN9piYqS5c40Q\nlJkpjRrl1iGZ4hP+Av3vhYt99wS9cgwACBsehaJ33nlHgwcP1r//+79r+/btWrFihV566SVn+7lz\n57Rq1Sr99a9/Ve/evfXggw9q1qxZ2rhxo6Kjo/Xaa6/pwIEDevbZZ/X666/77GQAv6irkzZuNEJQ\nUZFUUWG23XijuV32lClSv349PnykfOuPwOFi3z3dVfD4QgIA0MKjUFRaWqr77rtPkjRlyhQtWrSo\nTfuuXbt0ww03KCYmRpJ08803a+fOnbr33nuVlZUlSbLb7Tp16pQ3fQf849Il6eOPzbVBH35obKEt\nSVdcIc2bZwShWbOk4cO9fju+9UdPhev01kDrroLHFxIAgBYehaKamhrZ7XZJks1mU69evXTx4kX1\nbt5GuHW7ZASgEydOKCoqSlFRUZKkP/3pT86ABARdVZVZCSoulmprjd/36iXdfrtZDbr5Zql5DPsK\n3/qjp8J1emuoscIXElTDAMA93Yai119/XX/5y19ka94py+Fw6LPPPmvznMst36J3wuFwtHn85z//\nWXv37tXLL7/sVifLy8vdeh4imy/Hge3CBQ389FMNKi3VoNJSRR844Gy7kJioU/f9/+3de0zUZ77H\n8c+M0mm8oKV10Jp6unVT2pwEoiTMWTHibpQ2aNKTDVPoGIyhUetJTTQaAxrbtH9Uor3EBImlaGOj\nrhSqicc2VLss1loIeFnrJb2QbeqFiMyKWvASR57zxxzBqZbLj3GGmd/79ZfMMzO/Z5yv8vvM8/y+\n89+69qc/6deMDN0ZPbrngf/8Z9jmcNfixU+qvb1MFy4kaeLEy1q8+D+p+V7wdwMpPHUwZswvkno+\nkBg79mzc1VdxcYMOHPgf3V0Na28v07p1/xXtaYVVvL1nsIY6wGD1GYq8Xq+8Xm/IbcXFxfL7/UpJ\nSVEgEAg+0T1fNul2u9XW1tb9c2trq6ZMmSIpGLLq6upUVlbWvWrUF765HIP+BntjpObmni1x//hH\nsHOcFLwOKDu7u132I88/r3EOh8aFZ+r98pe/zIzg0WLXoOsAcSFcdVBZOVlLlty7DXFe3K2iXLnS\nontXw65cmRRX/4b4PwESdYCgwQZjS9vnMjMzVVNTo8zMTNXW1srj8YSMp6Wlae3atero6JDD4dDx\n48e1Zs0anTt3TpWVldqxY4cSEhIGNXGgT7/+Ggw/dzvF/etfPWPPP9/TJW7GDGnEiOjNE0BU2GEb\nIttzAaB/LIWinJwcHT58WD6fTy6XSyUlJZKk8vJyeTwepaWlacWKFSosLJTT6dTSpUs1atQoffTR\nR7p69aoWLlwoY4wcDoe2bt0assoEWNbVJZ040XNt0OHD0u3bwbHEROmvf+358tRJk6I7VyDKuNbE\nHmjKAQD9YymNOJ1OrVu37r7bFy1a1P3n7OxsZWdnh4wvX75cy5cvt3JI4MHa2oKNEWpqpP37pdbW\n4O0Oh5Se3hOCPB4pxlcnOYlFONF5zR7ssBoGAOHAEg1iSyAgNTT0bIk7ejR4vZAkJSdL8+cHQ9Ds\n2dK4SF4V9PBxEns/gqJ1dui8BgBAfxGKMPS1tuqJ3buld96R/v536e73WyUkSFlZPe2yU1ODLbTj\nFCex9yMoWjfUrzUh8AIAIolQhKFv+nT9x92W2c88I82bFwxCf/6zdG+77Dg31E9io4GgaN1Qv9aE\nwAsAiCRCEYa+d97R2SNHNGnhQumPf4z2bKJmqJ/ERgNB0bqhfq0JgRcAEEmEIgx9Xq/annlGk2wc\niKShfxIbDQTF+EXgBQBEEqEIQMwiKMYvAi8AIJIIRQAwSDQFCD8CLwAgkghFADBINAUAACC2xW//\nYgCIEJoCAAAQ2whFADBIf/jDr5L+/0uEaQoAAEDMYfscAAwSTQEAAIhthCIAGCSaAgAAENvYPgfE\noX//+4ry8v6mjIz/VV7eTl2+fCXaUwIAABiyWCkC4hDd0AAAAPqPlSIgDtENDQAAoP8IRUAcohsa\nAABA/7F9DohDdEMDAADoP0IREIfohgYAANB/bJ8DAAAAYGuEIiBO0IYbAADAGrbPAXGCNtwAAADW\nsFIExAnacAMAAFhDKALiBG24AQAArGH7HBAnaMMNAABgDaEIiBO04QYAALCG7XMAAAAAbI1QBAAA\nAMDWCEUAAAAAbI1QBAAAAMDWCEUAAAAAbI1QBAAAAMDWCEUAAAAAbI1QBAAAAMDWCEUAAAAAbI1Q\nBAAAAMDWCEUAAAAAbI1QBAAAAMDWCEUAAAAAbI1QBAAAAMDWCEUAAAAAbI1QBAAAAMDWCEUAAAAA\nbI1QBAAAAMDWCEUAAAAAbI1QBAAAAMDWCEUAAAAAbI1QBAAAAMDWCEUAAAAAbI1QBAAAAMDWCEUA\nAAAAbI1QBAAAAMDWCEUAAAAAbI1QBAAAAMDWCEUAAAAAbI1QBAAAAMDWLIWiQCCglStXyufzqaCg\nQOfPn7/vPnv37lVubq7y8vJUXV0dMub3+5WRkaGmpiZrswYAAACAMLEUivbt26cxY8Zo586deu21\n1/Tee++FjN+4cUNlZWXatm2bPvnkE23btk3Xrl3rHt+wYYOeeuqpwc0cAAAAAMLAUiiqr6/XrFmz\nJEnTpk3TsWPHQsZPnDih1NRUjRw5Ui6XS1OnTu2+T0NDg0aNGqVnn312kFMHAAAAgMGzFIr8fr+S\nkpIkSQ6HQ06nU4FA4IHjkpSUlKS2tjbdvn1bmzZt0vLlywc5bQAAAAAIj+F93aGqqkrV1dVyOByS\nJGOMvvvuu5D7dHV19focxhhJUnl5uV5++WWNGjUq5Pa+HD16tF/3Q3yjDiBRBwiiDnAXtQCJOsDg\n9RmKvF6vvF5vyG3FxcXy+/1KSUnpXiEaPrznqdxut9ra2rp/bm1t1ZQpU7Rnzx4dOnRI27dv19mz\nZ3Xy5Elt3LhRkydP/t3jp6enD/hFAQAAAEB/Wdo+l5mZqZqaGklSbW2tPB5PyHhaWppOnTqljo4O\ndXZ26vjx40pPT9fOnTu1a9cuVVZWaubMmXrzzTd7DUQAAAAA8LD1uVL0IDk5OTp8+LB8Pp9cLpdK\nSkokBbfHeTwepaWlacWKFSosLJTT6dTSpUu7t8wBAAAAwFDiMP29sAcAAAAA4pCl7XMAAAAAEC8I\nRQAAAABsjVAEAAAAwNaiHooCgYBWrlwpn8+ngoICnT9//r777N27V7m5ucrLy1N1dbUk6fLly1q4\ncKHmz58vn89333cnIfZYrYU7d+6oqKhIPp9P+fn5OnbsWKSnjjCyWgeS1NjYqGnTpungwYORnDLC\nbN26dcrPz9crr7yikydPhox9++238nq9ys/PV1lZWb8eg9hkpQ5+/PFHzZ49Wzt27Ij0dPGQWKmD\n9evXKz8/X16vVwcOHIj0lPEQDLQObt68qWXLlqmgoEB5eXmqq6vr+yAmyvbs2WPefvttY4wx33zz\njVm2bFnI+PXr180LL7xgOjo6zM2bN83cuXPN1atXzccff2z27dtnjDGmsbHRFBYWRnzuCC+rtfDZ\nZ5+Zt956yxhjzE8//WRyc3MjPneEj9U6OHv2rFmyZIl5/fXXTV1dXTSmjjBobGw0ixcvNsYY09zc\nbPLy8kLGc3JyzMWLF01XV5fx+Xymubm5z8cg9lipg+vXr5uCggKzdu1as3379mhMG2FmpQ4aGhrM\nokWLjDHGtLe3m5kzZ0Z83givgdTBvHnzTHNzs/n8889NRUWFMcaYCxcumOzs7D6PE/WVovr6es2a\nNUuSNG3atPs+5T9x4oRSU1M1cuRIuVwuTZ06VceOHdOCBQs0Z84cSVJLS4vGjx8f8bkjvKzWwksv\nvaSioiJJUlJSkq5evRrxuSN8rNaB2+3Wpk2baP8f4+59/ydPnqxr166ps7NTknTu3DmNHTtWycnJ\ncjgcysrKUn19fa+PQWwaaB00NDTI5XKpoqJCbrc7mlNHGFmpg4yMDG3cuFGSlJiYqBs3bsjQaDmm\nDaQOZsyYoYaGBuXk5OjVV1+VFMwJEyZM6PM4UQ9Ffr9fSUlJkiSHwyGn06lAIPDAcSl40tvW1tY9\nlpubqw8//FDLli2L7MQRdlZrYdiwYXrkkUckSdu2bdPcuXMjO3GEldU6cLlccjgcEZ8vwuu37+9j\njz0mv9//wLG7731vj0FsGmgdXLp0SU6ns/t3AeKDlTpwOBx69NFHJUlVVVXKysrid0OMs1IHd+Xn\n52vVqlVavXp1n8ex9OWtVlVVVam6urq7OI0x910L1NXV1etz3Jv2n3jiCVVXV+vrr79WUVGRtmzZ\nEv5J46EIdy1I0o4dO3TmzBlt3rw5vJPFQ/Mw6gDxpbf39/fGqIn4Y6UOEH8GUgdfffWVdu/ezblh\nHBpIHezatUvff/+9Vq5cqb179/b6vBENRV6vV16vN+S24uJi+f1+paSkdH8aPHx4z7Tcbnf3ypAk\ntba2asqUKWpqalJKSooSExM1Y8YMrVq1KjIvAmERzlqQgifXdXV1Kisr07BhwyLwChAO4a4DxD63\n2x2yynPp0iWNGzeue+y3773b7VZCQsLvPgaxyUodIP5YrYNDhw6pvLxcW7ZsYUt1HLBSB6dPn9bj\njz+u8ePH67nnntOdO3d0+fLlkFWl34r69rnMzEzV1NRIkmpra+XxeELG09LSdOrUKXV0dKizs1PH\njx9Xenq69u/frz179kiSfvjhBz355JMRnzvCy2otnDt3TpWVlSotLVVCQkI0po4wsloH9+KT49iV\nmZmpL7/8UpJ0+vRpJScna8SIEZKkiRMnqrOzUy0tLQoEAqqrq9P06dN7fQxik5U6QPyxUgcdHR3a\nsGGDNm/erNGjR0dz+ggTK3XQ1NSkrVu3Sgpusbtx40avgUiSHCbKZw9dXV1as2aNfvnlF7lcLpWU\nlCg5OVnl5eXyeDxKS0vT/v37VVFRIafTqYKCAs2ZM0ft7e0qKipSZ2enbt++rTVr1ig1NTWaLwWD\nZLUWPvjgA33xxReaMGGCjDFyOBzaunVryOoCYofVOjh48KAqKir0888/KykpSePGjWPbRIx6//33\n1djYqGHDhumNN97QmTNnNHr0aM2aNUtHjhzRu+++K0l68cUXtWDBggc+JiUlJYqvAOEw0Do4ffq0\nSkpK1NLSouHDhys5OVmlpaVKTEyM8ivBYAy0Dj799FOVlpbq6aef7j4nWL9+PQ25YtxA6+DWrVta\nvXq1Ll68qFu3bmnp0qXKysrq9RhRD0UAAAAAEE1R3z4HAAAAANFEKAIAAABga4QiAAAAALZGKAIA\nAABga4QiAAAAALZGKAIAAABga4QiAAAAALb2f8Mv8eThgpKhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f258d40a050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(rdata2, rdata1)\n",
    "\n",
    "# Answer\n",
    "a = 0.0004\n",
    "b = 1.14\n",
    "#Answer\n",
    "\n",
    "x = np.arange(-0.02, 0.03, 0.01)\n",
    "y = a + (b*x)\n",
    "plt.plot(x,y, color='r');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "Congratulations on completing the answer key to the Plotting exercises!\n",
    "\n",
    "As you learn more about writing trading algorithms and the Quantopian platform, be sure to check out the daily [Quantopian Contest](https://www.quantopian.com/contest), in which you can compete for a cash prize every day.\n",
    "\n",
    "Start by going through the [Writing a Contest Algorithm](https://www.quantopian.com/tutorials/contest) tutorial."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company.  In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.5",
   "language": "python",
   "name": "py35"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
